Well-posedness and exponential decay for a laminated beam with distributed delay term

Madani Douib, Salah Zitouni, Abdelhak Djebabla

Abstract


In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier's law effective in the rotation angle displacements. We first give the well-posedness of the system by using the semigroup method. Then, we show that the system is exponentially stable under the assumption of equal wave speeds.

Keywords


laminated beam; Fourier's law; distributed delay term; well-posedness; exponential decay

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DOI: http://dx.doi.org/10.24193/subbmath.2022.3.07

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